Answer:
69
Step-by-step explanation:
All angles in a triangle = 180°
35 + x + (x+7) = 180
42 + 2x = 180
2x = 138
x = 69
Hope this helps!

To solve for x, we have to remember to isolate the variable.

For 1/2, we can make that 0.5, since their values are equivalent. Our equation:

Let's distribute the 0.5 first.


Now, let's simplify the right side of the equation. We have to distribute the negative to 3x and 1.

Then, we simplify the entire expression.


Our equation now:

Let's add 3x to the right and 3x to the left to simplify the -3x on the right side of the equation.


Let's do the same thing we did in Step 3 to 1.5. Subtract 1.5 on both sides of the equation.


Finally, we divide both sides by 6 to isolate x.


Answer:
The expectation is 
Step-by-step explanation:
From the question we are told that
The first offer is 
The second offer is 
The third offer is 
The number of tickets is 
The price of each ticket is 
Generally expectation is mathematically represented as

given that they just offer one
Now
given that they just offer one
Now
given that they offer five
Hence the expectation is evaluated as


Now given that the price for a ticket is 
The actual expectation when price of ticket has been removed is


Answer:
B
Step-by-step explanation:
3(6)-5(-3)≥10
18-(-15)≥10
18+15≥10
33≥10
Let x = smaller number.
So for this, our larger number equation is 10x, and to find what x is, we have to set it to 81. Our equation will be 
Firstly, combine like terms: 
Next, divide 9 on both sides of the equation, and your answer should be
.
Now that we know that the smaller number is 9, just multiply that by 10 to get 90.
And in short, the smaller number is 9 and the larger number is 90.
If x represented the smaller number, then the larger number is 10x.